The line y = kx + 4, where k is a constant, is graphed in the xy-plane. If the line contains the
point (c, d), where c ≠ 0 and d ≠ 0, what is the slope
of the line in terms of c and d ?

(0,-3) see attached graph

step-by-step explanation:

a. to solve the system, graph the two equations.

x = y+3 becomes y=x-3 has m=1/1 and b=-3. start at (0,-3) on the y-axis and plot a point. then move up 1 unit and 1 unit to the right. plot a point and connect.

y=-4x+3 has m =-4/1 and b=-3. start at (0,-3) on the y-axis and plot a point. then move down four units and to the right 1 unit. plot a point and connect.

the solution is the point (x,y) where the two lines intersect. by the graph below it is (0,-3).

b. to solve by substitution, substitute y = -4x-3 into x= y+3

x= (-4x-3) +3

x=-4x

5x=0

x=0

now substitute x = 0 back in to find y.

y= -4(0)-3

y=0-3

y=-3

solution is (0,-3)

c. use elimination by adding the equations together.

x-y=3

4x+y=-3

5x=0

x=0

then substitute into one equation to find y.

y=-4(0)-3

y=-3

c and e

step-by-step explanation: c and e seem the most probable because a number less than 2 on a spinner with 4 equal sections would be 25% and e because all of the stacks contain 13 of that card.

hi there!

the answer to this question is: y=[x+6]

anytime there is number subtracted or added to x within the absolute sign, it means there is a translation.